Question

How do you solve for C: $F=\dfrac{9}{5}C+32$.

Answer 1

Hint: This question is pretty easy and can be solved with very few steps. The concept behind this is you need to use simple or you can say basic operations like addition, subtraction, multiplication or division. So, let’s have a look at how we can make an approach for the following question.

Complete Step by Step Solution:
The given equation is $F=\dfrac{9}{5}C+32$
The first step will be shifting of 32 from right side to left side, that means, we get,
$\Rightarrow F-32=\dfrac{9}{5}C$
In the above equation, we can see there is a sign change for 32 because its place has been shifted.
Now, we will move the 5 from the right side to left and it will be multiplied to F-32 as it is in the form of division in the right-hand side.
$\Rightarrow 5(F-32)=9C$
Similarly, we will move the 9 from right to left and it will be in the form of division as it is multiplied with 5 on the right side, that means, we get,
$\Rightarrow \dfrac{5}{9}(F-32)=C$
Now, if we rearrange the above equation, we get,
$\Rightarrow C=\dfrac{5}{9}(F-32)$

Therefore, we get the value for C by solving the given equation, Henceforth, $C=\dfrac{5}{9}(F-32)$.

Note:
In the above equation, there are two variables that are “C” and “F”. C stands for Celsius whereas “F” stands for Fahrenheit. That means the given equation can help us to convert the Celsius temperature to Fahrenheit and vice-versa.